Answer :
The hypotenuse bracing must be 80 inches long in order to fit between the posts, when the height of the post is 48 inches and there is 64 inches between posts i.e base.
We must understand that a right angle is formed by the height of a post and the horizontal space between posts. The hypotenuse of a right triangle is then the diagonal that connects one post's highest point to its lowest point. The length of this hypotenuse can then be determined using the Pythagorean theorem.
The Pythagorean theorem states that H2 = P2 + D2, where P is the height of a post (cathetus), D is the distance between posts (cathetus), and H is the hypotenuse (diagonal).
We can substitute these values since we are aware of them:
H² = (48inches)² + (64inches)² = 2,304inches² + 4,096inches² = 6,400inches²
H= [tex]\sqrt{6400}[/tex] inches
H = 80inches
Therefore, The length of the diagonal brace be in order to fit between the posts is 80 inches.
To learn more about Pythagorean theorem here:
https://brainly.com/question/21926466
#SPJ4
